What is the solution to the system of linear equations? Show your work.

What Is The Solution To The System Of Linear Equations? Show Your Work.

Answers

Answer 1
3x-2y=7
y=x+2

3x-2(x+2)=7
3x-2x-4=7
x-4=7
x=11

y=x+2
y=11+2
y=13

(11,13)

carolyn did not distribute the negative sign to the 4 in the second step. hope this helps!

Related Questions

Write an equation for the line that passes through (- 3, 5) and is parallel to y = - 6x + 1.

Answers

Answer:

y-5 = -6(x+3) OR y = -6x-13

Step-by-step explanation:

Let's use slope-intercept form to solve this problem.

Slope intercept form is the following:

y-y1 = m(x-x1)

x1 and y1 are given by the point in the problem.

x1 = -3, y1 = 5.

m is given by the equation in the problem. Lines that are parallel have the same slope. Thus,

m = -6.

If we plug these values into the equation for slope intercept form, we get the following:

y-5 = -6(x-(-3)) which becomes y-5 = -6(x+3)

This is an acceptable answer to the problem. However, point-slope form is also a way it can be written.

y-5 = -6x-18

y = -6x-13

Suppose that the halflife of a substance is 250 years . If there were ir 100 the substance , (a) give an exponential model for the situation, and (b) how much wil years?
can anyone answer this please:(

Answers

After 500 years one would have N nuclei of the original substance.

N = 100 * exp ( -ln(4) ) = 25

LOL.

I guess it is exp( - lamda * t)

Lamda, the decay constant is the ln(2) over the half life.

So we get exp( -ln(2)/250 * 500) or exp ( -ln(4) )
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Related Questions (More Answers Below)

A triangle has side lengths of 15 millimeters, 10 millimeters, and 13 millimeters. What kind of triangle is it?

Answers

Answer:The triangle is acute

Step-by-step explanation:

Answer:

acute

Step-by-step explanation:

What is the equation of this line in Slope intercept Form?​

Answers

Answer:

y = x - 5

Step-by-step explanation:

share 126 litres of petrol between Joel and Trump in the ratio 2:5​

Answers

Answer:

36:90

Step-by-step explanation:

trust me and make me brainliest please!!

Answer:

Trump=90, Joel=36

Step-by-step explanation:

2x+5x=126

7x=126

x=18

18 times 2=36

18 times 5=90

find the slope of the line that passes through (5,8) and (7,12)

Answers

Answer:

2 is the answer

Step-by-step explanation:

Answer:

2is your slope.

Step-by-step explanation:

(5,8) = (x1,y1)

(7,12) = (x2,y2)

now,

slope = y2-y1

x2-x1

=12-8

7-5

= 4

2

= 2 ans

image

Identify a pair of parallel lines in the given figure.
Question 2 options:

A)

p and s

B)

r and q

C)

r and p

D)

r and s

Answers

The parallel lines are r and s.

What are Parallel lines?

Parallel lines are those lines that are equidistance from each other and never intersect each other.

Given that;

There are 4 lines ae shown in figure.

Now,

Since, There are 4 lines ae shown in figure.

We know that,

Parallel lines are those lines that are equidistance from each other and never intersect each other.

And, Here p and s are intersect at a point.

Lines q and r are intersect at a point.

Lines p and r are intersect at a point.

And, Lines r and s are not intersect at any point and equidistance from each other.

Thus, The lines r and s are parallel lines.

Learn more about the parallel lines visit:

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1. After a party, Tyler's family has
3 6/8 pizzas leftover. Each family
member ate 3/8 of the left over
pizzas. How many family
members ate the leftover pizzas?

Answers

Answer:

10 members

Step-by-step explanation:

3 6/8 leftover = [tex]\frac{24+6}{8}\\[/tex] = 30/8 = 10 . 3/8

the product of two consecutive odd numbers is 1023

Answers

31 and 33 are two consecutive odd numbers whose product is 1023

If the part is 63 and the percent is 90% what is the whole plz help

Answers

Answer:

70

Step-by-step explanation:

63/9 = 7

7 * 10 = 70

Please help me ASAP.

Answers

Answer:

y=3x+10

Step-by-step explanation:

m=y2-y1/x2-x1

-5-7=(-12)

3-(-1)=4

-12/4=3

y=3x+b

7=3(-1)+b

3*-1=(-3)

-3(-3)=0

7-(-3)=10

b=10

hope this helps :3

if it did pls mark brainliest

PLEASE HELPPPP ASAP IF YOU THIS

Answers

I think 90 degrees I’m not sure

Find the equation of a line that passes through the point (2,-5) and is perpendicular to the y-axis. Do not put any spaces in your answer.

Answers

Answer:

y=-5

Step-by-step explanation:

Equation of the line

Lines can be expressed in several forms. The slope-intercept form of the line is:

y = mx + b

Where m is the slope of the line and m is the y-intercept.

If the line is perpendicular to the y-axis, then it's a horizontal line. Horizontal lines have slope m=0, thus, the equation is:

y = b

To find the value of b, just substitute the given point:

-5=b

The equation of the line is:

y=-5

repost 4,.,.,./.,.,.,.,.,./.,./

Answers

Answer:

The first one the are equal the second one is the third option

Step-by-step explanation:

PLEASE PLEASE HELP!!!!

Answers

Answer:

It's A or B but I think B

Step-by-step explanation:

Evaluate x=2
F(x)=2x+4

Answers

X=2
F(x)=2(2)+4
f(x)=8

32^(x+4) = 64^(2x-1)

Answers

Answer:

Vamos a resolver la ecuación paso a paso.

32x+4=642x−1

Step-by-step explanation:

Resolver el exponente.

32x+4=642x−1

log(32x+4)=log(642x−1)(Sacar el logaritmo de ambos lados.)

(x+4)*(log(32))=(2x−1)*(log(64))

x+4=(

log(64)

log(32)

)*(2x−1)

x+4=1.2*(2x−1)

x+4=2.4x−1.2(Simplificar ambos lados de la ecuación)

x+4−2.4x=2.4x−1.2−2.4x(Restar 2.4x a ambos lados)

−1.4x+4=−1.2

−1.4x+4−4=−1.2−4(Restar 4 a ambos lados)

−1.4x=−5.2

−1.4x

−1.4

=

−5.2

−1.4

(Dividir ambos lados por -1.4)

x=3.714286

Solución:

x=3.714286

anyone give me a hand with this question ​

Answers

A point that can be found is (-9,8) because it represents (x,y). I hope this helps!

Can someone pls help me right quick hurry pls

Answers

Answer:

b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

4 in hundreds (400)

3 in ones (3)

2 in tenths (.2)

9 in hundredths (.09)

Help !!!
Cupcakes can be placed in boxes that hold 12, 8, or 6 cakes when full. What is the least number of cupcakes a baker needs to bake so that he can package them in anyone of the three different size boxes without any remaining?

Answers

Answer:

um just use a Calculator

Step-by-step explanation:

LOL sry I'm tired I would help

Answer:

i thnk the answer is 26

Step-by-step explanation:

james went out for a long walk . He walked 3 2/5 of the mile. then he sat down to take rest . After that he walked 5/7 of a mile. how far did he walk together

Answers

Answer:

Altogether James walked [tex]4\frac{4}{35}[/tex] miles.

Step-by-step explanation:

The question involves mixed fractions. Mixed fractions are first converted into proper fractions and then any operation can be performed on them.

Given

Distance of first walk = [tex]3\frac{2}{5}[/tex] of a mile

Distance of second walk = 5/7

In order to find how much he walked altogether, we have to find the sum of both fractions.

[tex]Total\ distance = 3\frac{2}{5}+\frac{5}{7}\\= \frac{17}{5}+\frac{5}{7}\\=\frac{17*7}{5*7} + \frac{5*5}{7*5}\\=\frac{119}{35} + \frac{25}{35}\\=\frac{119+25}{35}\\=\frac{144}{35}\\=4\frac{4}{35}[/tex]

Hence,

Altogether James walked [tex]4\frac{4}{35}[/tex] miles.

if g(x) = 4x-6 then g ^-1 (x) =?

Answers

Answer:

y=4x+6

4x=-y+6

x=(-y+6)/4

then

Step-by-step explanation:

[tex]{g(x)}^{ - 1} = \frac{x - 6}{4} [/tex]

Kevin has 2/5 of a pound of candy. 3/10 of the candy is chocolate. How many pounds of chocolate does he have?

Answers

3 is the answer for it

Solve the system of equation using any method.

Y=4x-9
Y=x-3

Answers

y=4x-9

y=x-3

-4x + y = -9

-x +y = -3              //-1

-4x + y = -9

x - y = 3

---------------------

-3x = -6

x = 2

y = 2-3

y = -1

Answer:

(2, -1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

y = 4x - 9

y = x - 3

Step 2: Solve for x

Substitute in y:                              4x - 9 = x - 3Subtract x on both sides:             3x - 9 = -3Add 9 to both sides:                     3x = 6Divide 3 on both sides:                x = 2

Step 3: Solve for y

Define:                              y = x - 3Substitute in x:                 y = 2 - 3Subtract:                           y = -1

slope 1/4 and y intercept is -5
point slope

Answers

Answer:

uhhyvygygyggyhygybybybyvtvtv

An airplane flying with the wind takes 2 hours to travel a distance of 360 miles.

The return trip takes 3 hours flying against the wind.

What is the speed of the airplane in still air and how fast is the wind blowing?

Answers

Answer: still air is 150mph. The wind speed is 30mph.

Step-by-step explanation:

X=speed of the plane, Y=speed of the wind.

360/2hours=180

360/3hours=120

2x=180+120

2x=300

X=150

The airplane in still air is 150mph

Add together

X+y=180

150+y=180

Y=180-150

Y=30mph

The wind speed is 30mph

You get 20% off a new jacket that costs 80$ what will you have to spend on that jacket?

Answers

Answer:

$64

Step-by-step explanation:

10 percent of 80 dollars is 8 dollars, and 20 percent is 16 dollars, now subtract 16 from 80 dollars and you will get 64 dollars

Answer:

$64

Step-by-step explanation:

How can I estimate 26×22

Answers

Answer:

Hi if you are simply looking to estimate 26x22 then you could round each number to get 30x20 and that would make 600 your estimate! Hope this helps!

The absolute value of a number is 16. What is this number? Select all that apply.
A. 16
B. -1/16
C. 61
D. 1/16
E. -16

Answers

Answer:

-16 and 16 so A and E

Step-by-step explanation:

The positive version of -16 is 16

the correct answers are A) 16 and E) -16. Both 16 and -16 have an absolute value of 16, as they are equidistant from zero on the number line.

To find the number whose absolute value is 16, we can consider both the positive and negative values that satisfy this condition.

The absolute value of a number represents the distance of that number from zero on the number line. Therefore, any number that is 16 units away from zero can be the answer.

In this case, the correct answers are A) 16 and E) -16. Both 16 and -16 have an absolute value of 16, as they are equidistant from zero on the number line.

Options B) -1/16, C) 61, and D) 1/16 are not correct answers as they do not have an absolute value of 16.

Learn more about absolute value here

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Exercise 3.29. In a school there are four kindergarten classes, with 21, 24, 17 and 28 students. We choose one of the 90 kindergarten students randomly, and denote the number of students in her class by X. Find the expectation and variance of X.

Answers

Answer:

Expected mean = 23.2159

Variance = 15.89

Step-by-step explanation:

Given that :

Number of kindergarten students (X) :

21 + 24 + 17 + 28 = 90

P(X):

21/ 90 = 0.233

24/90 = 0.2667

17/90 = 0.1889

28/90 = 0.3111

X : ____ 21 ____24 _____ 17 ______ 28

P(x) : _ 0.233 _ 0.2667 __ 0.1889 __ 0.3111

E(X) = Σ[(p)*p(x)]

(21 * 0.233) + (24 * 0.2667) + (17 * 0.1889) + (28 * 0.3111) = 23.2159

Var(X) : Σ(x²*p(x)) - E(x)²

x² * p(x) = (21^2 * 0.233) + (24^2 * 0.2667) + (17^2 * 0.1889) + (28^2 * 0.3111) - 23.2159^2

554.8667 - 538.97801281

= 15.88868719

= 15.89

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